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Real Projective Iterated Function Systems

Barnsley, Michael F.; Vince, Andrew


This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and hyperplanes in projective space leads to connections between attractors that avoid hyperplanes and repellers that avoid points, as well as...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/s12220-011-9232-x


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